Query about Question 22 from "PrepSwift Quant Tickbox Quiz #12 (Geometry Column 3)" [6671]

[user7838]

Link: https://www.gregmat.com/quizzes/quiz/prepswift-quant-tickbox-quiz-12-geometry-column-3 (Question 22)

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write your question here… the answer to this question wasn’t explained in the solutions, and I’m still curious to know how we solve it. Conceptually, how does the external angle to the inscribed polygon affect the side length, and thus the area of the polygon?

[cylverixxx]

As the value of \theta changes, the value of SC naturally changes too. Because SC changes, DC must change as well. If DC changes, then the area changes accordingly, because the area of a square is a function of its side length.